EI / SCOPUS / CSCD 收录

中文核心期刊

GENG Yanhui, QIN Guoliang, WANG Yang, HE Wei. The research of space-time coupled spectral element method for acoustic wave equation[J]. ACTA ACUSTICA, 2013, 38(3): 306-318. DOI: 10.15949/j.cnki.0371-0025.2013.03.019
Citation: GENG Yanhui, QIN Guoliang, WANG Yang, HE Wei. The research of space-time coupled spectral element method for acoustic wave equation[J]. ACTA ACUSTICA, 2013, 38(3): 306-318. DOI: 10.15949/j.cnki.0371-0025.2013.03.019

The research of space-time coupled spectral element method for acoustic wave equation

More Information
  • PACS: 
  • Received Date: December 21, 2011
  • Revised Date: March 25, 2012
  • Available Online: June 24, 2022
  • A space-time coupled spectral element method based on Chebyshev polynomials is presented for solving timedependent wave equations.Acoustic propagation problems in 1 + 1,2 + 1,3 + 1 dimensions with the dirichlet boundary conditions are simulated via space-time spectral element method using quadrilateral,hexahedral and tesseractic elements respectively.Space-time coupled spectral element method can obtain high-order precision and the dispersion is stable over time.With the same total number of grid nodes,higher numerical precision is obtained if the higher-order Chebyshev polynomials in space directions and lower-order Chebyshev polynomials in time direction are adopted.When space-time coupled spectral element method is used,time subdomain-by-subdomain approach is more economical than time domain approach.
  • Related Articles

    [1]MA Siyu, ZHANG Yuxiang, XIE Zhinan, YIN Jingwei. Study of very-low-frequency sound propagation characteristics in the complex ocean space based on the spectral element method[J]. ACTA ACUSTICA, 2024, 49(4): 844-854. DOI: 10.12395/0371-0025.2023045
    [2]LIU Bao, WANG Deshi, ZHOU Qizheng, ZHU Yongyong. Acoustic boundary element method for axisymmetric structures based on Burton-Miller equation[J]. ACTA ACUSTICA, 2019, 44(3): 303-311. DOI: 10.15949/j.cnki.0371-0025.2019.03.004
    [3]SU Bo, LIU Zhigui, TUO Xianguo, LI Huailiang. Modified symplectic quasi-particles discrete methods for simulation of wave propogation[J]. ACTA ACUSTICA, 2018, 43(5): 843-849. DOI: 10.15949/j.cnki.0371-0025.2018.05.015
    [4]MA Youneng, YU Jinhua, WANG Yuanyuan. Unsplit perfectly matched layer for second-order acoustic wave equation[J]. ACTA ACUSTICA, 2013, 38(6): 681-686. DOI: 10.15949/j.cnki.0371-0025.2013.06.015
    [5]ZHANG Haibin, JIANG Weikang, WAN Quan. Research on the cyclostationary nearfield acoustic holography based on boundary element method[J]. ACTA ACUSTICA, 2008, 33(3): 231-237. DOI: 10.15949/j.cnki.0371-0025.2008.03.008
    [6]LIN Weijun. A Chebyshev spectral element method for elastic wave modeling[J]. ACTA ACUSTICA, 2007, 32(6): 525-533. DOI: 10.15949/j.cnki.0371-0025.2007.06.007
    [7]YING Jinpin, BAO Kang. Application of the conjugate gradient method to the inverse problem of 3-D acoustic equation[J]. ACTA ACUSTICA, 1998, 23(4): 340-348. DOI: 10.15949/j.cnki.0371-0025.1998.04.008
    [8]YING Jinpin, SUN Wei. Simultaneous reconstruction of the acoustic equation via a direct optimization approach[J]. ACTA ACUSTICA, 1996, 21(3): 204-210. DOI: 10.15949/j.cnki.0371-0025.1996.03.002
    [9]XU Haiting, TU Zhemin. Solving sound scattering at resonance frequencies by using integral equation method[J]. ACTA ACUSTICA, 1995, 20(1): 26-32. DOI: 10.15949/j.cnki.0371-0025.1995.01.004
    [10]CHEN Pei-tian. TO SOLVE THE RADIATED ACOUSTIC FIELD OF FREE-FLOODED-RING TRANSDUCER WITH SLOW WAVEGUIDE BY THE METHOD OF HELMHOLTZ INTEGRAL EQUATIONS IN THE FORM OF FINITE SURFACE ELEMENT[J]. ACTA ACUSTICA, 1987, 12(3): 218-226. DOI: 10.15949/j.cnki.0371-0025.1987.03.008

Catalog

    Article Metrics

    Article views (26) PDF downloads (11) Cited by()
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return